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Finding the Fourth Proportional to 117,407.86, 176,117.37 and 37,454.32

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Solution

The fourth proportional to 117,407.86, 176,117.37 and 37,454.32 is: 56,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,407.86 : 176,117.37 = 37,454.32 : x
  2. Step 2: Convert to fraction form
    117,407.86/176,117.37 = 37,454.32/x
  3. Step 3: Cross multiply
    117,407.86x = 176,117.37 × 37,454.32
  4. Step 4: Simplify right side
    117,407.86x = 6,596,356,333.54
  5. Step 5: Solve for x
    x = 6,596,356,333.54/117,407.86
  6. Step 6: Final answer
    x = 56,183.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.